SOLUTION: Hey guys, this is combinations unit (data management) I have two questions: a coin is tossed 6 times. What r the number of ways of getting exactly 5 tails, at least one tail and n

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Question 1008498: Hey guys, this is combinations unit (data management)
I have two questions: a coin is tossed 6 times. What r the number of ways of getting exactly 5 tails, at least one tail and no more than 3 heads. ..
How do u do this without tree diagrams or charts???
And my next question:
If I had 3 quarters 4 loonies and 1 penny. How many ways can i make change assuming I will have greater than $0.00???
PLS MY TEST IS TOMORROW
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
a coin is tossed 6 times.
What are the number of ways of getting exactly 5 tails
Ans: 6C5 = 6C1 = 6 ways
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at least one tail?
Ans: 2^6 - 1 = 64-1 = 63
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and no more than 3 heads
Ans: 2^6 -(6C4 + 6C5 + 6C6) = 64 - (15 + 6 + 1) = 64-22 = 42
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How do u do this without tree diagrams or charts???

And my next question:
If I had 3 quarters 4 loonies and 1 penny. How many ways can i make change assuming I will have greater than $0.00???
Ans: 4*5*2 -1 = 39 ways
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Cheers,
Stan H.
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